主讲人：Bo Deng教授，University of Nebraska-Lincoln
题目：How to Prove Shilnikov Chaos for Chemostat Model
摘要：A classical chemostat model was known to exhibit complex dynamics more than 20 years ago. It is still an open problem to prove the existence of chaos analytically. In this talk I will present a numerical proof for the problem. This is to be done by first finding a plausible parameter region through singular perturbation analysis of a modified model, and then finding a Shilnikov's saddle-focus homoclinic orbit, which is chaos generating, for the non-modified model by a shooting algorithm. We will also discuss Shilnikov's classical result and talk about possible application of our numerical method to other ecological and epidemiological models.